L関数とp進多様体と格子暗号 - 2026/5/19の論文28本

arXiv math.NTの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-19/Boundary Value Problems on $p$-Adic Analytic ManifoldsFactorization of Additive Polynomials and van der Geer--van der Vlugt curves in characteristic 2Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass FormsOne-level densities of large even and odd orthogonal families of automorphic L-functionsGaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion PolynomialsCounterexamples to integer-coefficient criteria for recurrence along functions from a Hardy fieldA Degree-Two Hilbert--P\'olya Realisation by Causal Riemann-Surface OperatorsOn the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$Multiplicative independence in the sequence of $k$-generalized Pell numbersLinear independence of periods related to polylogarithmsAn update on the Linnik--Goldbach and Romanov problemsNon-admissibility of some universal supersingular representationsA note on the $q$-adic valuation of $\sigma_k(n)$Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fieldsOn some constancy of Hecke eigensystems for Drinfeld cuspforms of level $\Gamma_1(\mathfrak{n}\wp^r)$On the Periods of Ikeda-Yamana Lift for the Unitary Group ISum of consecutive powers as a perfect powerClassicality of Hilbert modular formsThree Brillhart-Lehmer-Selfridge primality proofs for Wagstaff numbersCovering systems where the prime divisors of all moduli are only $2$, $3$, or $5$Linear equations in Piatetski-Shapiro primesEpstein vector zeta functions related to the ADE Lie algebrasn-ary elliptic groups, rings, and primes in arithmetic progressionsModule Lattice Security (Part III): Structured CVP Distance on the Log-Unit LatticeRationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principleExplicit cost analysis of Toom-4 multiplication for incomplete NTT in lattice-based cryptographyIterative maps emerging from cohomological structure of primesGenus formulas for dormant modular curves and asymptotic behavior of their function fields